Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

(2): "1.1" was replaced by "(11/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-2 = (2•5)^(-2) = (2)^(-2) • (5)^(-2)

Equation at the end of step  1  :

   11
  (—— • (10-5)) • (3 • ((2)(-2)•(5)(-2)))
   10

Step  2  :

Equation at the end of step  2  :

   11              3 
  (—— • (10-5)) • ———
   10             100

Step  3  :

 3.1     10 = 2•5

(10)^-5 = (2•5)^(-5) = (2)^(-5) • (5)^(-5)

Equation at the end of step  3  :

   11                         3 
  (—— • ((2)(-5)•(5)(-5))) • ———
   10                        100

Step  4  :

            11
 Simplify   ——
            10

Equation at the end of step  4  :

   11                         3 
  (—— • ((2)(-5)•(5)(-5))) • ———
   10                        100

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Multiplying exponents :

 5.2    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  5  :

     11      3 
  ——————— • ———
  (26•56)   100

Step  6  :

Multiplying exponents :

 6.1    2⁶  multiplied by  2²   = 2^{(6 + 2)} = 2⁸

Multiplying exponents :

 6.2    5⁶  multiplied by  5²   = 5^{(6 + 2)} = 5⁸

Final result :

     33                                    
  ——————— = 3.30000 • 10-7 
  (28•58)